Slope Intercept Form Applications

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

Write the equation for a situation where a person starts with $100 and spends $20 per day.

Back

y = -20x + 100.

Front

In the equation y = 2.5x + 20, what does 2.5 represent?

Back

2.5 represents the rate charged per minute for the portrait artist's work.

Front

Identify the y-intercept in the equation y = -20x + 100.

Back

The y-intercept is $100.

Front

Identify the slope in the equation y = 2.5x + 20.

Back

The slope is $2.50 per minute.

Front

If a gym charges a $99 registration fee and $35 monthly, what is the equation?

Back

y = 35x + 99.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases.